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Graphing Quadratic Functions

Graphing Quadratic Functions

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Author: Hector Soto
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Tutorial

Graphing Quadratics (Parabolas) Using a Table of Values

This video shows how to create a table of (x,y) values from the information in your quadratic equation/function to sketch your parabola. *Remember that "y" and "f(x)" are basically treated the same way.

Source: youtube: Brandon Grasley

Finding the Vertex of a Parabola

This tutorial explains how to find the vertex of the parabola of a quadratic function when you are given the equation in either "standard form" or "vertex form".

Source: Youtube: Mathbff

Minimum and Maximum Values of Quadratic Functions

Here we see how to find the min/max "y" values of our parabola. Remember that if your leading coefficient is positive, your parabola opens up and your y value is a "minimum" value. If your leading coefficient is negative, your parabola opens down and your y value is a "maximum" value.

Source: Youtube: patrickJMT

Domain and Range (of Parabolas) in Interval Notation

This video shows you how to find the domain and range of your quadratic function's graph, and describe them in interval notation.

Source: Youtube: Kyle Ritter

Parent [Absolute Value] Functions, Translations, Stretches, and Shrinks (2.6)

This video shows you what the "parent" absolute value function looks like in a graph. It also demonstrates the transformations that occur when we make changes to this equation. Similar transformations occur when we modify the "parent" quadratic equation.

Source: youtube: Jeremy Duncan